Quasi-Lie schemes: theory and applications

被引：16
|
作者：
Carinena, Jose F. [1 ]
Grabowski, Janusz [2 ]
de Lucas, Javier [1 ,2 ]
机构：
[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain
[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 33期
关键词：
SUPERPOSITION RULES; 1ST INTEGRALS; EMDEN-FOWLER; SYSTEMS; EQUATION;
D O I：
10.1088/1751-8113/42/33/335206
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A powerful method to solve nonlinear first-order ordinary differential equations, which is based on a geometrical understanding of the corresponding dynamics of the so-called Lie systems, is developed. This method enables us not only to solve some of these equations, but also gives geometrical explanations for some, already known, ad hoc methods of dealing with such problems.
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页数：20
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